A Posteriori Estimates for Partial Differential Equations

Sergey I. Repin

Published by De Gruyter 2008

A Posteriori Estimates for Partial Differential Equations

Sergey I. Repin

Volume 4 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110203042

Overview
Contents

About this book

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis.After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.

Author information

Sergey Repin, Steklov Institute of Mathematics, St. Petersburg, Russia.

Reviews

"In the reviewer's opinion, this book would be most suitable for researchers and graduate students in applied mathematics and numeral analysis."
Wen Bin Liu in: Mathematical Reviews 2010b

"It will be useful for experts in computational mathematics, as well as for students interested in applied mathematics."
In: Ems Newsletter 3/2009

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Contents Requires Authentication Unlicensed Licensed Download PDF	v
Preface Requires Authentication Unlicensed Licensed Download PDF	viii
1. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2. Overview Requires Authentication Unlicensed Licensed Download PDF	22
3. Poisson’s equation Requires Authentication Unlicensed Licensed Download PDF	45
4. Linear elliptic problems Requires Authentication Unlicensed Licensed Download PDF	75
5. Elasticity Requires Authentication Unlicensed Licensed Download PDF	104
6. Incompressible viscous fluids Requires Authentication Unlicensed Licensed Download PDF	117
7. Generalizations Requires Authentication Unlicensed Licensed Download PDF	158
8. Nonlinear problems Requires Authentication Unlicensed Licensed Download PDF	178
9. A posteriori estimates for other problems Requires Authentication Unlicensed Licensed Download PDF	218
Backmatter Requires Authentication Unlicensed Licensed Download PDF	291

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate Students of Mathematics, Researchers; Academic Libraries
Pages
- Front matter: 11
- Main content: 316
Keywords: Partial Differential Equation; Approximate Solution; A Posteriori Error Estimates

eBook

Published: October 31, 2008
ISBN: 9783110203042

Hardcover

Published: September 16, 2008
ISBN: 9783110191530